I have found 2 luxury hotels that both have 3 star ratings. The Gonville and The Lensfield hotel are both available to book.
The hotel should be expensive and does not need to have free parking.
hotel-parking hotel-pricerange hotel-stars hotel-type
hotel-parking hotel-pricerange hotel-stars hotel-type
hotel-parking hotel-pricerange hotel-stars hotel-type
hotel-parking hotel-pricerange hotel-stars hotel-type